Finding the Third Proportional to 137,113.50 and 207,128.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,113.50 : 207,128.25 = 207,128.25 : x
2. Step 2: Convert to fraction form
   137,113.50/207,128.25 = 207,128.25/x
3. Step 3: Cross multiply
   137,113.50x = 207,128.25 × 207,128.25
4. Step 4: Simplify right side
   137,113.50x = 42,902,111,948.06
5. Step 5: Solve for x
   x = 42,902,111,948.06/137,113.50
6. Step 6: Final answer
   x = 312,894.88